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332102312081 is a prime number
BaseRepresentation
bin1001101010100101101…
…01110010000010010001
31011202012210002110010122
410311102311302002101
520420121142441311
6412322105040025
732664543035051
oct4652265620221
91152183073118
10332102312081
11118931108531
1254444486015
1325417911047
1412106879561
15898ab5a0db
hex4d52d72091

332102312081 has 2 divisors, whose sum is σ = 332102312082. Its totient is φ = 332102312080.

The previous prime is 332102312029. The next prime is 332102312089. The reversal of 332102312081 is 180213201233.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 319723524481 + 12378787600 = 565441^2 + 111260^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-332102312081 is a prime.

It is a super-2 number, since 2×3321023120812 (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 332102312081.

It is not a weakly prime, because it can be changed into another prime (332102312089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 166051156040 + 166051156041.

It is an arithmetic number, because the mean of its divisors is an integer number (166051156041).

Almost surely, 2332102312081 is an apocalyptic number.

It is an amenable number.

332102312081 is a deficient number, since it is larger than the sum of its proper divisors (1).

332102312081 is an equidigital number, since it uses as much as digits as its factorization.

332102312081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 26.

The spelling of 332102312081 in words is "three hundred thirty-two billion, one hundred two million, three hundred twelve thousand, eighty-one".